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Simplifying 2x + -1(-1x + -5) = 6 + (x + 1) Reorder the terms: 2x + -1(-5 + -1x) = 6 + (x + 1) 2x + (-5 * -1 + -1x * -1) = 6 + (x + 1) 2x + (5 + 1x) = 6 + (x + 1) Reorder the terms: 5 + 2x + 1x = 6 + (x + 1) Combine like terms: 2x + 1x = 3x 5 + 3x = 6 + (x + 1) Reorder the terms: 5 + 3x = 6 + (1 + x) Remove parenthesis around (1 + x) 5 + 3x = 6 + 1 + x Combine like terms: 6 + 1 = 7 5 + 3x = 7 + x Solving 5 + 3x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 3x + -1x = 7 + x + -1x Combine like terms: 3x + -1x = 2x 5 + 2x = 7 + x + -1x Combine like terms: x + -1x = 0 5 + 2x = 7 + 0 5 + 2x = 7 Add '-5' to each side of the equation. 5 + -5 + 2x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 7 + -5 2x = 7 + -5 Combine like terms: 7 + -5 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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